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J Neurophysiol 94: 821-832, 2005. First published March 30, 2005; doi:10.1152/jn.01049.2004
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Temperature Affects Voltage-Sensitive Conductances Differentially in Octopus Cells of the Mammalian Cochlear Nucleus

Xiao-Jie Cao and Donata Oertel

Department of Physiology, University of Wisconsin, Madison, Wisconsin

Submitted 6 October 2004; accepted in final form 30 March 2005


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 
Temperature is an important physiological variable the influence of which on macroscopic electrophysiological measurements in slices is not well documented. We show that each of three voltage-sensitive conductances of octopus cells of the mammalian ventral cochlear nucleus (VCN) is affected differently by changes in temperature. As expected, the kinetics of the currents were faster at higher than at lower temperature. Where they could be measured, time constants of activation, deactivation, and inactivation had Q10 values between 1.8 and 4.6. The magnitude of the peak conductances was differentially affected by temperature. While the peak magnitude of the high-voltage-activated K+ conductance, gKH, was unaffected by changes in temperature, the peak of the low-voltage-activated K+ conductance, gKL, was reduced by half when the temperature was lowered from 33 to 23°C (Q10 = 2). Changing the temperature changed the kinetics and the magnitude of the hyperpolarization-activated mixed cation conductance, gh, but the changes in magnitude were transient. The voltage sensitivity of the three conductances was unaffected by temperature. The action of temperature on these conductances is reflected in the resting potentials and in the shapes of action potentials.


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 
Temperature has long been known to affect electrical excitability. Hodgkin and Huxley showed that action potentials in squid axons are briefer and smaller at higher than at lower temperatures and that these differences in shape are the consequence of the sensitivity to temperature of the rates at which Na+ and K+ conductances are activated and deactivated (Q10 = 3.0) (Hodgkin and Huxley 1952aGo,cGo). The influence of temperature has been studied in squid axons, where the electrical activity is well described by two voltage-sensitive conductances, each well described by relatively few, temperature-dependent, rate constants. Mammalian neurons, however, often express diverse types of ion channels, each with multiple states and multiple temperature-sensitive rate constants (Mitsuiye et al. 1997Go; Rodriguez et al. 1998Go). Electrophysiological studies of mammalian tissue in slices are done over a wide range of temperatures, 22–37°C, often with the assumption that the properties reflect those of the neurons in vivo but the influence of temperature has been examined systematically in only few slice preparations (Griffin and Boulant 1995Go; Volgushev et al. 2000Go). We show how the macroscopic currents of octopus cells in the mammalian cochlear nucleus vary over the range of temperatures generally used and that, because they respond differently to changes in temperature, electrophysiological properties of neurons are distorted at reduced temperatures.

The conductances measured in octopus cells in vitro account for their function not only in vitro but also in vivo. The temporal precision with which octopus cells convey acoustic information is made possible by their low input resistances at rest (~6 M{Omega}) that allow them to respond to synaptic activation of the auditory nerve with sharply timed action potentials (Oertel et al. 2000Go). In vivo they fire in phase with loud tonal stimuli at every cycle up to frequencies of 800/s, but at higher frequencies, they fire only once at the onset of a tone (Godfrey et al. 1975Go; Rhode and Smith 1986Go). They respond sensitively to broadband, periodic stimuli, such as trains of clicks, with action potentials whose temporal jitter is ~100 µs (Oertel et al. 2000Go). They fire only if synaptic inputs are synchronous and the rate of depolarization is high (Ferragamo and Oertel 2002Go; Golding et al. 1995Go).

The low input resistance of octopus cells results from the partial activation of a hyperpolarization-activated, mixed-cation conductance, gh, and a low-voltage-activated potassium conductance, gKL (Bal and Oertel 2000Go, 2001Go). Depolarizing current pulses evoke only a single, small action potential, and hyperpolarizing current pulses evoke voltage changes that sag back toward rest (Golding et al. 1995Go, 1999Go). Octopus cells also have a high-voltage-activated potassium conductance, as well as a tetrodotoxin (TTX)-sensitive sodium conductance, and a high-voltage-activated calcium conductance, but these can generally not be clamped by controlling the voltage at the cell body (Bal and Oertel 2001Go). The present results show that the three conductances that can be studied by voltage clamp of the cell body are affected differently by temperature.


    METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 
Preparation of slices

Recordings were made from coronal slices of the most caudal region of the cochlear nuclear complex from mice (ICR strain) between 17 and 20 days old. Slices were made as reported previously (Bal and Oertel 2000Go). They were cut in normal physiological saline that contained (in mM) 130 NaCl, 3 KCl, 1.2 KH2PO4, 2.4 CaCl2, 1.3 MgSO4, 20 NaHCO3, 3 HEPES, 10 glucose, saturated with 95% O2-5% CO2, pH 7.4, at between 24 and 27°C. All chemicals were from Sigma, unless stated otherwise. Slices, 200 µm thick, were cut using a vibrating microtome (Leica VT 1000S) and then were incubated in a holding chamber between 30 and 40 min at 33°C. They were then transferred to the recording chamber that was mounted on the stage of a compound microscope (Zeiss Axioskop) and viewed through a x63 water-immersion objective. Recordings were generally made within 2 h after they were cut.

Control of temperature

When mounted in the microscope, slices in the recording chamber (volume of ~500 µl) were superfused at between 4 and 6 ml/min with physiological saline that was oxygenated in the reservoir whence it came. Temperature was regulated by controlling the temperature of the saline that was superfused over the tissue. Except when experiments required reducing the temperature, the saline in the reservoir was preheated in a water bath and fed by gravity to the recording chamber. The temperature was measured in the recording chamber, between the inflow of the chamber and the tissue, with a Thermalert thermometer (Physitemp) the input of which comes from a small thermistor (IT-23, Physitemp, diameter: 0.1 mm). The output of the Thermalert thermometer was fed into a custom-made, feedback-controlled heater that heated the saline in glass tubing (1.5 mm) just before it reached the chamber. An adjustable delay in the controller for the heater prevented oscillations. The lower temperature was limited by room temperature and varied between 22.4 and 23°C. Intermediate temperatures varied between 26.5 and 27°C. The high temperatures were kept between 33.1 and 33.4°C. It took ~2 min for the temperature to stabilize after a change was made.

Electrophysiological recordings

Patch-clamp recordings were made with pipettes made from borosilicate glass whose resistances ranged between 5 and 6 M{Omega}. They were filled with a solution consisting of (in mM) 108 potassium gluconate, 9 HEPES, 9 EGTA, 4.5 MgCl2, 14 phosphocreatinine (tris salt), 4 ATP (Na salt), and 0.3 GTP (tris salt). The pH was adjusted to 7.4 with KOH and was stable as the temperature was varied between 23 and 33°C. Recordings were made with an Axopatch 200A amplifier (Axon Instruments). Records were digitized at 50 kHz and low-pass filtered at 10 kHz. For measurements of large currents to be accurate and stable over relatively long time periods, it was essential that the series resistance was compensated and did not change during the experiment. Recordings in which the series resistance could not be compensated to ≥95% or in which the series resistance changed significantly (evident in the current transients at the onset and offset of voltage pulses) were eliminated from this study. The series resistance was 10.8 ± 3.4 M{Omega} (n = 40). With average membrane capacitance of 66.4 ± 18.8 pF (n = 26) in octopus cells, the time constant of the imposed voltage step was therefore on average 36 µs. The output was digitized through a Digidata 1320A (Axon Instruments) and fed into a computer. Stimulation and recording was controlled by pClamp 8 software (Axon Instruments).

To study their temperature dependence, currents were separated as reported previously (Bal and Oertel 2000Go, 2001Go). The control solution contained (in mM) 138 NaCl; 4.2 KCl, 2.4 CaCl2, 1.3 MgCl2, 10 HEPES, and 10 glucose, pH 7.4 and saturated with 100% O2. The pH of this solution was stable over the range of temperatures used. In voltage-clamp experiments the voltage-sensitive sodium current was blocked by 1 µM tetrodotoxin (TTX), the voltage-sensitive calcium current was blocked by 0.25 mM CdCl2 and synaptic currents were blocked with 40 µM 6,7-dinitroquinoxaline-2,3-dione (DNQX; Tocris Cookson, UK). In some experiments, 50 µM ZD7288 (Bal and Oertel 2000Go), and in some 60 nM {alpha}-dendrotoxin ({alpha}-DTX; Alomone Labs, Israel), was added to the control solution. Measurements of Ih were made in an extracellular saline in which 5 mM 4-aminopyridine (4-AP) and 10 mM TEA were substituted for NaCl. All reported voltages were compensated for a –12 mV junction potential. Analyses were conducted off-line. Exponential fits to current traces were made with Clampfit software (Axon Instruments). To avoid contamination by the capacitative current, the first 4–4.5 ms after a voltage step were excluded from the fits. Fit intervals were between 0.5 and 1 s. Statistical analyses with Minitab (e-academy), and fits to the Boltzmann equation, g/gmax = 1 –1/[1 + exp(VV1/2)/{kappa}], were made using Origin software (version 7.5).


    RESULTS
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 
Recordings from 138 octopus cells that were ≥30 min in duration and the holding currents of which were <0.2 nA at –60 mV form the basis of this study. Octopus cells occupy the most dorsal and posterior tail of the VCN. This teardrop-shaped area contains only octopus cells that are separated from one another by fascicles of myelinated fibers. The myelinated fibers make the octopus cell area so dense that cell bodies are difficult to see under Nomarski optics; the bright cell bodies contrast with the dark fiber fascicles when they are illuminated under bright field with the field diaphragm closed to a pinpoint. After the recording was initiated, a physiological identification of octopus cells was made on the basis of their characteristic responses to current pulses (Bal and Oertel 2000Go, 2001Go; Golding et al. 1995Go, 1999Go).

We varied the temperature according to either of two protocols that are illustrated in the Fig. 1, A and B. To compare conductances in a single cell at several temperatures, transient changes were made (Fig. 1A). In other experiments, recordings in any one cell were made at a single, steady temperature and comparisons were made between cells (Fig. 1B).



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FIG. 1. Temperature affects resting potentials. A: to compare responses to changes in temperature in a single cell, a whole cell patch recording was initially made at 27°C. The temperature was then changed transiently so that comparisons could be made in measurements from a single cell. B: recordings were also made at different steady temperatures. Comparisons in these recordings had to be made between cells. C: traces are of the resting potential of 1 cell changed as the temperature was varied. D: resting potentials measured in separate cells that were held at differing temperatures differed less but in a similar direction as with transient changes. E: the addition of 50 µM ZD7288 hyperpolarized the resting potential in the same cell by ~12 mV. When Ih was blocked in that cell, changes in temperature caused small changes of the resting potential. C–E: average values are indicated with dots ({bullet}). In this and all subsequent figures, bars ({bullet}) indicate the SD of the mean, the numbers in italics indicate the number of cells from which measurements were made, a single asterisk (*) indicates that bracketed values are significantly different at P < 0.05, and a double asterisk (**) indicates that values differ at P < 0.001.

 
Resting potential

When the temperature was changed upward or downward from 27°C, the resting potentials of octopus cells changed. They depolarized with increases and hyperpolarized with decreases in temperature. The changes were initially large and then drifted back toward the earlier level over tens of minutes (not illustrated directly). The traces in Fig. 1C illustrate changes in the resting potential of a single cell as the temperature was changed transiently. When the cell was subjected to transient changes in temperature between 23 and 33°C, the resting potential shifted over 7 mV. The differences in resting potential were smaller when comparisons were made between cells that were held at differing steady temperatures. The traces in Fig. 1D show resting potentials in three separate recordings, each at a different temperature. On average, resting potentials differed by 6.5 mV when temperature changes were transient (Fig. 1C) and by 3.5 mV among cells held at 23 and 33°C (Fig. 1D). Differences between transient and steady manipulations of temperature reflect the drift of the resting potential back toward the original level. Changes in resting potential associated with transient changes in temperature were statistically significantly different from one another (P < 0.05; Fig. 1C).

At the resting potential, both inward gh and outward gKL are partly activated (Oertel et al. 2000Go). The finding that the magnitude of Ih not only varies but also adapts to temperature changes (described in the following text) raised the question whether Ih contributes to the adaptation in the resting potential. Figure 1E shows that addition of 50 µM ZD7288 to the bath hyperpolarized octopus cells by ~12 mV and that changes in temperature caused small changes of the resting potential (4 mV) that did not drift back toward the original level. The magnitude of differences in resting potential in individual cells as a function of temperature in the presence of ZD7288 was similar to the magnitude of differences between cells held at different steady temperatures.

Action potentials

Depolarizing current pulses each evoke only a single action potential in octopus cells (Golding et al. 1995Go). The action potentials, though small, are conventional in that they have thresholds and are tetrodotoxin-sensitive (Golding et al. 1999Go). Action potentials evoked from rest by depolarizing current pulses were taller and broader at lower than at higher temperature. Changes in temperature affected the amplitude of action potentials, measured as the voltage difference between the visually identified threshold and the peak, and their duration, measured as the width of the action potential at the threshold (Fig. 2A). Superimposed action potentials from a recording of one cell in which the temperature was changed transiently (Fig. 2B) showed a similar relationship as the shapes of action potentials in separate cells that were recorded at differing steady temperatures (Fig. 2C) and are reflected in the mean values given in the bar graphs.



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FIG. 2. Action potentials became smaller and briefer with increases in temperature, independent of whether the temperature was changed transiently or steadily. A: the amplitude and duration of action potentials evoked by current pulses were measured relative to the visually identified threshold. B: action potentials in a cell that was subjected to transient changes in temperature are superimposed so that peaks and thresholds are aligned in time and voltage, respectively. Resting potentials are given in millivolts at the left of the traces. Bar graphs on the right give mean ± SD. C: action potentials in 3 cells held at differing temperatures are superimposed so that the peaks and thresholds of action potentials are aligned.

 
Conductances

Octopus cells have several voltage-sensitive conductances that are activated over a wide range of voltages. Hyperpolarization between about –35 and –100 mV activates a mixed cation conductance, gh, that is sensitive to 50 µM ZD7288 and has a reversal potential of –38 mV (Bal and Oertel 2000Go). Depolarization between about –70 and 0 mV, activates an {alpha}-DTX-sensitive K+ conductance, gKL (Bal and Oertel 2001Go). Octopus cells also have an {alpha}-dendrotoxin-insensitive, TEA-sensitive K+ conductance, gKH, that activates at higher voltages, between about –40 and +20 mV. When other conductances are blocked, a voltage- and Cd2+-sensitive inward current can be resolved that shows that octopus cells also have a voltage-sensitive Ca2+ conductance (Bal and Oertel 2001Go). Octopus cells have TTX-sensitive Na+ channels many of which are presumably in the axon because the voltage-sensitive Na+ current can generally not be well clamped from the cell body (Bal and Oertel 2001Go; Golding et al. 1999Go). The influence of temperature on conductances that can be reasonably well measured in octopus cells, gh, gKL, and gKH, is described in the following text.

Low-voltage-activated K+ current (IKL) is sensitive to temperature

Depolarizing voltage steps from a holding potential of –90 to more than –70 mV evoked outward currents (IKL). Recordings of IKL were made in the presence of 1 µM TTX, 0.25 mM Cd2+, 50 µM ZD7288, and 40 µM DNQX to block gNa, gCa, gh and spontaneous synaptic currents, respectively. Figure 3, A–C, shows families of currents evoked by voltage steps from –90 to –40 mV recorded from three cells that were held at differing steady temperatures. The currents increased steeply in amplitude with steps to more depolarized potentials and then partially inactivated to a lower steady-state value. Currents were smaller at lower temperatures; a 10°C reduction from 33 to 23°C reduced the average peak IKL by almost two-thirds (Fig. 3D). Only a small fraction of that reduction can be attributed to the temperature sensitivity of EK; if salts in the bath and pipette solutions are totally dissociated, EK would be expected to shift from –85 to –82 mV over this temperature range. The ratio of the peak current at 33°C to that at 23°C provides an estimate of the Q10; at –40 mV the Q10 was 2.6. It was impossible to measure the kinetics of activation and deactivation of IKL because the charging and discharging of the membrane obscured some of its time course. Inactivation was described by two exponential functions; fast and slow time constants had a Q10 of 3.8 and 4, respectively (Fig. 3E; Table 1).



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FIG. 3. Peak amplitude of low-voltage-activated K+ current (IKL) is sensitive to temperature. A–C: currents in 3 cells were evoked by voltage steps from –90 to –40 mV in +5-mV steps at various steady temperatures. The higher the temperature, the higher were the peak amplitudes and the rates of inactivation. Over most of this voltage range the contribution of IKH is small. D: average peak IKL± SD is plotted as a function of voltage. E: bar graphs show mean ± SD of the fast ({tau}f) and slow ({tau}s) time constants as a function of temperature. Recordings were made in the presence of 1 µM TTX, 0.25 mM Cd2+, 40 µM 6,7-dinitroquinoxaline-2,3-dione (DNQX), and 50 µM ZD7288.

 

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TABLE 1. Temperature sensitivity of potassium currents at steady temperatures

 
To measure gKL over its entire voltage range of activation, required that IKL be reduced (because large depolarizing voltages evoked currents that were so large that they saturated the amplifier) and that IKL be separated from IKH (Bal and Oertel 2001Go). Low concentrations of {alpha}-DTX were used to reduce currents. IKL was evoked with steps to –40 mV and then 8 nM {alpha}-DTX was applied. The ratio of the peak current in the presence and absence of 8 nM {alpha}-DTX indicated what fraction of the peak IKL was blocked by 8 nM {alpha}-DTX. The sensitivity of IKL to higher concentrations of {alpha}-DTX was used to separate IKL from IKH. One such experiment done at 27°C is illustrated in Fig. 4, A–C. Figure 4A shows that IKL was reduced by 8 nM {alpha}-DTX. Although the action of {alpha}-DTX is considered to be voltage independent (Hopkins et al. 1999Go), the peak currents were reduced more than the steady-state currents; the ratio of the peak current in the absence and presence of 8 nM {alpha}-DTX was 3.1 while that of the steady-state currents at the end of the pulse was 2.7. The following analysis was done using peak values. In the same cell and in the continued presence of 8 nM {alpha}-DTX, voltage steps to 0 mV evoked mixed high- and low-voltage activated currents, which were subsequently separated by blocking IKL with 60 nM {alpha}-DTX and leaving IKH. The difference in currents measured in the absence and presence of 60 nM {alpha}-DTX was the reduced IKL (Fig. 4B). Application of the correction factor 3.1 revealed the maximum, peak gKL. The voltage-sensitivity of the peak gKL was derived from the relationship gKL = IKL/(VmEK) where g is conductance, I is current, Vm is membrane potential, and EK is the K+ equilibrium potential. In this cell, gKL was fully activated at –20 mV (Fig. 4C). The shapes of the g-V functions varied; the voltage at which activation saturated was near –20 mV in some cells, as in Fig. 4C, but in others saturation was sloping. A similar variability was also noted in a previous study (Bal and Oertel 2001Go). One explanation for these results is that at least some of gKL is electrically distant from the cell body and is not well clamped. We know therefore that quantitative measures of this conductance are imperfect estimates. To compare them, maximal conductances were estimated from the peak current evoked by pulses to –5 mV. These were significantly lower at 23 and 27°C than at 33°C (Fig. 4D), having a Q10 of ~2.



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FIG. 4. The maximum amplitude of gKL differed as a function of temperature. Measurements required that the currents be reduced and separated from gKH. A: IKL was first measured over relatively negative voltages, –90 to –40 mV, in the range where IKH is activated weakly. Then 8 nM {alpha}-dendrotoxin-K ({alpha}-DTX) was applied to reduce the large current. In this cell, the peak current at –45 mV was reduced by a factor of 3.1. B: in the same cell and in the continued presence of 8 nM {alpha}-DTX, voltage steps to 0 mV evoked further outward currents. To separate IKH from IKL 60 nM {alpha}-DTX was added to block IKL fully. The remaining current was IKH; the difference current before and after the application of 60 nM {alpha}-DTX was the reduced IKL. C: to measure the voltage-dependence of gKL, gKL was calculated from IKL according to Ohm's law, gKL = IKL/(VmEK). EK was taken to be –77 mV, the reversal potential of this current measured in a previous study (Bal and Oertel 2001Go). The correction factor 3.1 that was measured in A for peak current was applied to obtain the maximum gKL. D: comparison of the {alpha}-DTX-sensitive conductance, gKL, at –5 mV at various temperatures. Recordings were made in the presence of 1 µM TTX, 0.25 mM Cd2+, 40 µM DNQX, and 50 µM ZD7288.

 
We compared how two pharmacologically distinct components of IKL were affected by temperature. The sensitivity of IKL to {alpha}-DTX, a peptide toxin derived from the venom of green mamba snakes, indicated that this current was mediated through ion channels of the Kv1 family (Bal and Oertel 2001Go; Glazebrook et al. 2002Go; Harvey 1997Go; Hopkins 1998Go; Hopkins et al. 1994Go; Owen et al. 1997Go; Stühmer et al. 1989Go). Dendrotoxin-K (DTX-K), derived from the venom of black mamba snakes, blocks channels that contain at least one Kv1.1 {alpha} subunit (Robertson et al. 1996Go; Wang et al. 1999Go). In octopus cells, essentially all IKL was blocked by {alpha}-DTX but only part was blocked by DTX-K, indicating that some, but not all, channels that mediate IKL contain Kv1.1 subunits (Bal and Oertel 2001Go). We examined whether the part of IKL that is sensitive to DTX-K is affected by temperature similarly or differently from that which is not sensitive to DTX-K. A comparison of the difference currents illustrated in Fig. 5, A and B, shows that the peak of the DTX-K-sensitive current is reduced and that inactivation is slowed at low temperature. Current-voltage plots of the mean peaks of the DTX-K-sensitive current (Fig. 5C) and -insensitive current (Fig. 5D) show that both components of IKL were reduced at low temperature. The reduction in the peak was more prominent in the DTX-K-sensitive current. The reduction in the peak DTX-K sensitive current, but not the DTX-K-insensitive current measured as the Q10, was >1.3, the value expected from a diffusion-mediated current on purely physical grounds. The Q10 values are summarized in Table 1.



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FIG. 5. Channels both with and without Kv1.1 subunits are sensitive to steady differences in temperature. DTX-K is a blocker of K+ channels that contain at least one Kv1.1{alpha} subunit (Robertson et al. 1996Go; Wang et al. 1999Go). A: response to a family of voltage steps from a holding voltage of –90 to–40 mV in 5-mV increments at 33°C were recorded first in the absence and then in the presence of 40 nM DTX-K. The DTX-K-insensitive current (middle) is through channels that lack Kv1.1 subunits; subtraction of the DTX-K-insensitive currents from the control currents, the difference current (right) shows the current through channels that contain a Kv1.1 subunit. B: as in A, voltage steps from –90 to –40mV were applied in the absence and presence of 40 nM DTX-K at 23°C. C: current-voltage relationship of DTX-K-sensitive currents shows the mean ± SD derived from recordings at various temperatures. D: current-voltage relationship of DTX-K-insensitive currents in those same cells. Currents were measured in the presence of 1 µM TTX, 0.25 mM Cd2+, 40 µM DNQX, and 50 µM ZD7288.

 
High-voltage-activated K+ current (IKH) is insensitive to temperature

In octopus cells the {alpha}-DTX-insensitive K+ current, IKH, is activated at more depolarized voltages than the {alpha}-DTX-sensitive K+ current, IKL (Bal and Oertel 2001Go). In the presence of 60 nM {alpha}-DTX, 1 µM TTX, 0.25 mM Cd2+, 50 µM ZD7288 and 40 µM DNQX to suppress IKL, INa, ICa, Ih and spontaneous miniature synaptic currents respectively, the voltage could be stepped from a holding potential of –90 to +15 mV (Fig. 6, A and B). The resulting outward currents had a voltage range of activation that began at about –40 mV (Fig. 6C). The peak currents did not vary significantly with temperature (Fig. 6C). The kinetics of the activation and inactivation, were however sensitive to temperature. While we could not measure the rate of activation, the time to peak was slower at lower temperature. Single-exponential fits to the rate of inactivation showed that the time constant of inactivation was significantly faster at higher temperatures (Fig. 6D), having a Q10 of 4.7 (Table 1). This finding suggests that the increase in diffusion-mediated current through the pore is balanced by changes in gating.



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FIG. 6. Variation in temperature alters the kinetics but not the peak amplitude of the {alpha}-DTX-insensitive, high-voltage-activated current, IKH. A: family of currents evoked by depolarizing steps from –90 to +15 mV in 5-mV increments in the presence of 60 nM {alpha}-DTX at 33°C. B: similar currents measured at 23°C in a different cell. C: the mean amplitude of peak currents ± SD as a function of voltage for IKH varied little with temperature. D: single-exponential fits to the time course of inactivation of currents evoked by voltage pulses to 0 mV revealed significant differences in the kinetics of IKH as a function of temperature. Recordings were made in the presence of 60 nM {alpha}-DTX, 1 µM TTX, 0.25 mM Cd2+, 50 µM ZD7288, and 40 µM DNQX to suppress IKL, INa, ICa, Ih, and spontaneous miniature synaptic currents, respectively.

 
Differences in steady temperature affected the kinetics but not the maximum amplitude or voltage sensitivity of the hyperpolarization-activated current (Ih)

Measurements of Ih were made in the presence of 5 mM 4-aminopyridine (4-AP), 10 mM TEA, 1 µM TTX, 0.25 mM Cd2+, and 40 µM DNQX to block IKL, IKH, INa, ICa, and spontaneous miniature synaptic currents, respectively (Bal and Oertel 2000Go). Under these conditions, >90% of the inward current is sensitive to ZD7288 and Cs+ (Bal and Oertel 2001Go). The traces illustrated in Fig. 7, A–C, show families of currents evoked by identical voltage pulses in three different cells that were maintained at differing temperatures. The slow rise in inward current evoked by hyperpolarizing voltage pulses reflects the activation of Ih. Because gh was partially activated at rest, depolarizing voltage pulses resulted in a deactivation of Ih.



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FIG. 7. Steady differences in temperature affect the kinetics, but not the amplitude, of the hyperpolarization-activated current, Ih. A–C: families of currents were evoked in separate cells that were held at different steady temperatures. The voltage steps are illustrated in the cartoon at the bottom. Both the activation and deactivation of currents was slower at lower than at higher temperatures. D: the amplitude of Ih was not was not significantly affected by temperature. Plot shows mean ± SD of current at the end of the voltage pulses. E: plot of the amplitude of tail currents as a function of the voltage of the previous pulse reveals the voltage sensitivity of gh. The half-activation voltage was –65 mV and did not vary significantly with temperature. F: activation of Ih was fit well with double-exponential functions. Fast and slow time constants ({tau}) varied with voltage and temperature. Bars show amplitudes of time constants at three temperatures in responses to voltage pulses to –105 mV; the amplitude of {tau}fast was ~0.8. The numbers in italics show the number of cells from which measurements were made for D–F.

 
The amplitude and voltage-dependence of Ih did not vary with steady temperature but the kinetics were sensitive to temperature. The mean amplitude of Ih at the end of a 1,100 ms-voltage pulse, each measured in four or five cells, was indistinguishable at three different steady temperatures (Fig. 7D). The voltage sensitivity of gh was measured from the tail currents after the voltage was stepped from between –25 and –115 to –77 mV, a value close to the reversal potential of K+ currents (Bal and Oertel 2000Go). This plot shows that there is no significant difference in the voltage-sensitivity of gh as a function of the steady temperature (Fig. 7E). The rates of activation, however, were sensitive to voltage as well as temperature, with Q10s between 1.8 and 4.6 (Table 2). The values of the fast ({tau}fast) and slow ({tau}slow) time constants were faster at higher temperature; a comparison of responses to –105 mV are illustrated in Fig. 7F. The relative amplitude of the fast time constant was also between 10 and 20% larger at 33 than at 23°C over the voltage range between –70 and –105 mV. Deactivation, too, was faster at higher temperature. Deactivation followed a single exponential time course whose time constant was slowed from about 130 ms at 33°C to 300 ms at 23°C. The results are summarized in Table 2.


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TABLE 2. Temperature sensitivity of the hyperpolarization-activated current, Ih

 
Transient changes in temperature altered not only the kinetics but also the amplitude of Ih

The consequences of transient temperature changes on Ih are illustrated in Fig. 8. The recording from the octopus cell was initiated at 27°C (Fig. 8A). Two minutes after the temperature was raised to 33°C, the traces shown in Fig. 8B were recorded. The currents activated more rapidly and to larger steady-state amplitudes at 33 than at 27°C. At the conclusion of those measurements, the temperature was lowered to 27°C (traces resembled those in Fig. 8A and are not shown). Thereafter the temperature was lowered to 23°C, left for 2 min, and currents were measured again. The currents were further slowed and reduced (Fig. 8C). Figure 8D shows a plot of the mean amplitude of currents at the end of the voltage step after transient temperature changes in four cells; steady-state currents were reduced over the entire voltage range at reduced temperatures while the instantaneous currents in those same traces did not change. The voltage-sensitivity of gh was similar at the three temperatures (Fig. 8E). The rates of activation were faster at higher than at lower temperatures. A comparison of fast and slow time constants of responses to pulses to –105 mV were larger and the relative contribution of the fast time constant was greater at higher temperatures (Fig. 8F) having a Q10 of ~1.8. The rates of deactivation were also faster at higher temperature. The Q10 values are summarized in Table 2.



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FIG. 8. Transient changes in temperature alter not only the kinetics but also the amplitude of Ih. A–C: recordings from 1 cell that initially was held at 27°C. The temperature was raised to 33°C; after ~2 min when the temperature stabilized, voltage pulses between –25 and –115 mV were used to evoke the family of currents in A. The temperature was then reduced to 27°C and a similar family of voltage pulses was used to evoke the currents shown in B. A further reduction was made in the temperature to 23°C and currents were measured again. In this cell, the steady-state Ih was smaller when it was measured at low than at high temperature. D: current-voltage plot of steady-state currents shows that there is a consistent difference in the amplitude at the steady state with changes in temperature. In the same traces, there was no difference in the instantaneous current at the onset of the hyperpolarizing pulse (data not shown) indicating that at lower temperature, less Ih was activated. E: voltage sensitivity of gh, measured from tail currents, differed by 3 mV and was not statistically significant. F: the time course of activation was faster at higher than at lower temperature. Activation to –105 mV was fit with double-exponential functions. Both time constants, {tau}, shortened with increasing temperature.

 
Finding that the change in amplitude of Ih that resulted from changes in temperature was transient, led us to examine the time course of these changes. The traces from one cell show that Ih was reduced when the temperature was reduced to 23°C (Fig. 9, A and B). The activation rate of the currents remained slowed, but the steady-state amplitude adapted to the original levels within 10 min (Fig. 9C). A subsequent increase in temperature to 33°C caused the currents to activate more quickly but to similar levels (Fig. 9D). To illustrate the time course of the changes, steady-state responses to voltage steps from –55 to –100 mV were averaged in three cells and plotted (Fig. 9E). The amplitude of Ih returned to the original value over ~15 min after a reduction of temperature from 33 to 23°C and over ~5 min after an increase in temperature but the kinetics did not adapt with time. The time constants and their relative weights were relatively stable at any one temperature even while the amplitude changed (Fig. 9E, bottom).



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FIG. 9. The amplitude of Ih is temporarily reduced with a reduction in temperature. A: the cell was initially held at 33°C while the voltage was stepped from –55 mV to a range of voltages between –55 and –110 mV. B: soon after the temperature was reduced to 23°C, the same voltage steps evoked currents that were slower and smaller. C: after 10 min at 23°C, the amplitude, but not the rates of activation, recovered. D: when the temperature was returned to 33°C, the rate of activation and amplitude increased (not shown). A few minutes later, the amplitude of Ih fell back to its original value. E: mean amplitude of currents at the steady state (top) in responses to voltage pulses from –55 to –100 mV, recovered over a period of minutes after a reduction in temperature from 33 to 23°C. The amplitude of the steady-state current overshot its original value but stabilized at its original value within 5 min when the temperature was returned from 23 to 33°C. Unlike the amplitudes, the kinetics of activation did not adapt over time (bottom). In the same 3 cells, the mean slow ({triangleup}) and fast ({circ}) time constants of activation (fit to current traces of 1-s duration, of which only the 1st segments are illustrated in A–D) were slowed by a reduction in temperature and returned to their original values when the temperature was raised back to 33°C. F: current-voltage relationships of currents measured at the end of the hyperpolarizing voltage pulses show that the amplitude of currents was temporarily reduced by a reduction in the temperature.

 

    DISCUSSION
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Alterations in temperature affect the rates of diffusion through ion channels, the rates of conformational changes that lead to their activation and inactivation, and the rates of the biochemical reactions with which ion channels are modulated and transported into and out of membranes. The diverse consequences of changing temperature make it difficult to predict how cells will respond. While the rates at which conductances are activated, deactivated and inactivated are slower at lower temperatures, the amplitude of each of three major voltage-sensitive conductances in octopus cells is affected differently. Lowering the temperature from 33 to 23°C decreases the peak gKL but leaves the peak gKH unchanged. In octopus cells, resting potentials are more negative and action potentials are broader and taller at 23 than at 33°C. The smaller maximum gK seems to augment its slower activation to make action potentials taller and broader at depressed temperatures. An unexpected result was that the steady-state amplitude of gh that is activated by hyperpolarizing voltage pulses changes transiently and adapts over minutes to changes in temperature. The present results suggest that modulation of gh plays a role in regulating the resting potential of octopus cells because both the resting potential and gh itself adapt over tens of minutes when gh is present and the resting potential does not adapt when gh is blocked. These experiments indicate that electrophysiological properties of neurons are distorted when recordings are made at reduced temperature.

Conductances of octopus cells

Several of the conductances of octopus cells have been identified and studied in sufficient detail that we could examine how they are affected by differences in temperature. At rest, two large voltage-sensitive conductances, gKL and gh, are partially activated. Octopus cells also have gKH, and voltage-sensitive Na+ and Ca2+ conductances that are activated by strong depolarization (Bal and Oertel 2000Go, 2001Go; Golding et al. 1999Go).

The current mediated by gKL reverses near the theoretical EK, begins to activate at about –70 mV, is half-maximally activated near –45 mV, and has a maximal conductance of, on average, 500 nS (Bal and Oertel 2001Go). The g-V curves sometimes show signs of imperfect voltage-clamp suggesting that it is located, at least in part, at sites electrically distant from the cell body, possibly in the axon.

Two lines of evidence indicate that gKL is mediated through K+ channels of the Kv1 (also termed shaker-related or KCNA) family. First, gKL is blocked by toxins that act on Kv1 channels. IKL is sensitive to {alpha}-DTX, which blocks channels that contain Kv1.1, Kv1.2, and Kv1.6 {alpha} subunits but does not distinguish among them (Dolly and Parcej 1996Go; Harvey 1997Go; Hopkins 1998Go; Owen et al. 1997Go; Stühmer et al. 1989Go). DTX-I resembles {alpha}-DTX structurally (Gasparini et al. 1998Go) and also blocks IKL in neurons of auditory brain stem nuclei (Brew and Forsythe 1995Go; Dodson et al. 2002Go; Lu et al. 2004Go; Rathouz and Trussell 1998Go; Rothman and Manis 2003Go). IKL is partially blocked by tityustoxin K{alpha}, specific for channels that contain Kv1.2 subunits (Hopkins 1998Go; Werkman et al. 1993Go), and by DTX-K, specific for channels that contain Kv1.1 subunits (Owen et al. 1997Go; Robertson et al. 1996Go; Wang et al. 1999Go). Second, Kv1.1, Kv1.2, and Kv1.4 subunits have been localized in the cochlear nuclei (Fonseca et al. 1998Go; Wang et al. 1994Go). In peripheral nerve, Kv1.1 channels have been localized in the perinodal region of axons (Wang et al. 1993Go).

The presence of gKL is common among neurons in brain stem nuclei that transmit acoustic information in the timing of their firing. It was initially described in mammalian bushy cells (Manis and Marx 1991Go; Rothman and Manis 2003Go). Similar conductances were later found in neurons of the medial nucleus of the trapezoid body (Brew and Forsythe 1995Go; Brew et al. 2003Go; Dodson et al. 2002Go; Forsythe and Barnes-Davies 1993Go), medial superior olive (Wu and Kelly 1991Go), ventral nucleus of the lateral lemniscus (Wu 1999Go), lateral superior olive (Barnes-Davies et al. 2004Go), homologues of bushy cells in avian nucleus magnocellularis (Lu et al. 2004Go; Rathouz and Trussell 1998Go) as well as in octopus cells (Bal and Oertel 2001Go; Golding et al. 1999Go).

There is no reason to think that temperature sensitivity in the affinity of blockers, {alpha}-DTX and DTX-K, can account for the differences in IKL we observed at different temperatures. In octopus cells at 33°C, half-maximal blocking concentrations of {alpha}-DTX and DTX-K were, 5 and 10 nM, respectively (Bal and Oertel 2001Go). Even if there had been a change in affinity of the blockers with temperature, the concentrations of {alpha}-DTX (60 nM) and DTX-K (40 nM) used in the present study were in the saturating range so that small differences in the affinity with temperature would be expected to make only a small difference in the proportion of current blocked.

The temperature sensitivity of voltage-dependent currents was initially described in classical studies (Hodgkin and Huxley 1952aGo,cGo; Hodgkin et al. 1952Go). The amplitude of macroscopic and single channels that are probably largely Kv1.1 has a Q10 ~ 1.45, not far from the value 1.3 that is expected for aqueous diffusion (Koh and Vogel 1996Go). The time constants of activation of axonal K+ channels, generally have larger Q10s, like the Q10 of inactivation in the present experiments, between 3 and 4 (Russ and Siemen 1996Go). The dependence on temperature of current flow through Kv1 channels that were expressed in oocytes shows that these channels undergo a series of transitions with differing temperature sensitivity, but the measurements were done on channels from which fast inactivation had been removed (Rodriguez et al. 1998Go). Together these results indicate that temperature sensitivity of peak K+ currents in octopus cells reflects the temperature sensitivity of diffusion through the pore as well as the temperature sensitivity of activation and inactivation. In octopus cells, the low-voltage-activated current plays a key role in repolarization because in the presence of {alpha}-dendrotoxin, action potentials are tall and of long duration (Bal and Oertel 2001Go; Ferragamo and Oertel 2002Go). It is likely that the amplitude of IKL is higher in situ than has been estimated from in studies in slices that were done at reduced temperature (Bal and Oertel 2001Go; Dodson et al. 2002Go; Forsythe and Barnes-Davies 1993Go; Manis and Marx 1991Go; Rathouz and Trussell 1998Go; Rothman and Manis 2003Go). The present results suggest that differences in the firing of action potentials between wild-type mice and those that lack Kv1.1 documented by Brew et al. (2003)Go in slices at room temperature may have been smaller than the differences that underlie the decrease in the temporal precision in responses to sound in vivo in those same cells in mice lacking Kv1.1 relative to wild-type mice (Kopp-Scheinpflug et al. 2003Go).

The gKH begins to activate at about –40 mV, is half-maximally activated at –16 mV, and peaks have a mean maximal conductance of 115 nS (Bal and Oertel 2001Go). Similar conductances have been described in other auditory neurons (Brew and Forsythe 1995Go; Rathouz and Trussell 1998Go). Some authors have subdivided gKH into two separate currents (Rothman and Manis 2003Go). Ion channels of the Kv3 family have been detected in the octopus cell area and may mediate part or all of gKH (Perney and Kaczmarek 1997Go). Contamination by capacitative artifacts prevented our resolving the temperature sensitivity of the kinetics of activation and deactivation of this current. Like the K+ conductance of squid axons, the maximum amplitude of the conductance is unaffected by temperature (Hodgkin and Huxley 1952bGo). In the outward rectification of rat skeletal muscle, Q10 values of time constants associated with the n parameter in a Hodgkin-Huxley model for activation varied between ~2 over 30–38°C and 6 over 1–10°C (Beam and Donaldson 1983Go).

Hyperpolarization activates Ih, a current that reverses at –38 mV and is thus inward at rest (Bal and Oertel 2000Go). It is blocked by ZD7288 at µM concentrations. In the brain, hyperpolarization-activated channels are tetramers composed of three subunits, HCN1, HCN2, and HCN4 (Robinson and Siegelbaum 2003Go; Santoro et al. 1998Go, 2000Go). Homomeric HCN1 channels activate most rapidly and are least modulated by cAMP (Santoro et al. 1998Go). HCN4 channels activate most slowly and both HCN2 and HCN4 channels are strongly modulated by cAMP (Ludwig et al. 1999Go; Seifert et al. 1999Go). HCN1 is expressed in the vicinity of the octopus cell area of the VCN; HCN2 and HCN4 are also present in the VCN but are distributed more diffusely (Notomi and Shigemoto 2004Go; Santoro et al. 2000Go). The distribution of HCN1 and HCN2 protein reveals strong labeling of octopus cells for both subunits but with different patterns. HCN1 appears to label the membranes of cell bodies and dendrites, whereas HCN2 appears to be localized in the cytoplasm (Koch et al. 2004Go). Heteromeric channels composed of HCN1 and HCN2 subunits are intermediate in their kinetics and sensitivity to cAMP (Chen et al. 2001Go; Ulens and Tytgat 2001Go). The fast and slow time constants of activation of gh at room temperature in octopus cells resemble those of heteromeric HCN1-HCN2 channels expressed in oocytes (Ulens and Tytgat 2001Go), but in their insensitivity to cAMP, these channels more closely resemble homomeric HCN1 channels (Bal and Oertel 2000Go).

The measurements of the temperature sensitivity of the kinetics of Ih in the present study are consistent with earlier reports. In octopus cells, the Q10 for the time constants of activation to about –100 mV is >3, as is the Q10 for the activation of HCN1 and HCN4 channels expressed in COS cells (Ishii et al. 2001Go), and in the same range as Purkinje fibers of the heart (Hart 1983Go) and for the activation of Ih in hippocampal pyramidal cells (Magee 1998Go; Santoro et al. 2000Go). The present experiments indicate that the voltage sensitivity of Ih in octopus cells is unaffected by temperature. In Purkinje fibers of the heart (Hart 1983Go) and in cultured olfactory neurons (Vargas and Lucero 1999Go), elevation in temperature shifts the voltage sensitivity in the hyperpolarizing direction. In contrast, Watts et al. (1996)Go reported that the activation curve of Ih in neurons of the substantia nigra shifts in the depolarizing direction with increases of temperature. However, as the voltage pulses in these studies were not long enough for currents consistently to reach steady-state activation, the shapes of voltage-activation curves contained distortions; at reduced temperatures, activation was slower and farther from the steady-state level than at higher temperature.

The observation was first made in the heart that Ih has a high temperature dependence (DiFrancesco and Ojeda 1980Go; Hart 1983Go). Changes in the amplitude of Ih are a prominent feature of the responses to cold of cold-sensitive sensory neurons in culture (Viana et al. 2002Go). In hippocampal pyramidal cells the amplitude of Ih was reduced at steady, lower temperature, with a Q10 of 1.95 (Magee 1998Go). None of these authors reports that the amplitude of Ih adapts over tens of minutes.

Our experiments indicate that the amplitude of Ih adapts after it changes with temperature. After an initial change in amplitude, the amplitude of Ih returns to near the original value over a period of minutes. The adaptation in amplitude in the absence of corresponding changes in the rate of activation suggests that adaptation results from changes in the number of openable channels and points at possible mechanisms. Temperature could affect the trafficking of these channels to change their surface expression (Santoro et al. 2004Go). Accessory proteins can also modulate the amplitude of Ih. MinK-related protein 1, for example, acts as a {beta} subunit for HCN2 the presence of which increases Ih without affecting its voltage sensitivity (Qu et al. 2004Go). Tyrosine kinase has been shown to increase hyperpolarization-activated currents without changing the voltage sensitivity (Wu and Cohen 1997Go). However, as this type of modulation occurs in heterologously expressed HCN4 channels, but not in HCN1 or HCN2 channels (Yu et al. 2004Go), it is unclear whether such a mechanism can obtain in octopus cells. Binding cyclic nucleotides to the C-terminal linker region stabilizes the open state of HCN2 channels, but, unlike increases in temperature, it also alters the voltage sensitivity of channels (Craven and Zagotta 2004Go; Shin et al. 2004Go).

Action potentials

The consequences of changes of temperature on the shape of action potentials and on the overall electrical excitability reflect the effects of temperature on multiple voltage-dependent conductances and their interactions. It has been known since the 19th century that the symptoms of patients with multiple sclerosis are alleviated by reduced temperature (Uhthoff phenomenon). Reducing the temperature between 33 and 23°C made action potentials in octopus cells taller and broader. Presumably this resulted from the slower activation and smaller maximum amplitude of gKL just as a pharmacological reduction in gKL caused action potentials in octopus cells to become taller and broader (Bal and Oertel 2001Go; Ferragamo and Oertel 2002Go). In axons, it has been shown that the activation and inactivation of Na+ channels by a voltage step are slowed and that the peak current is reduced by a reduction in temperature (Chiu et al. 1979Go). Action potentials are robust and prolonged at reduced temperatures because repolarizing currents are also slowed (Hodgkin and Huxley 1952aGo). Removing Kv1.1 in axons genetically results in only subtle changes at physiological temperature but at reduced temperatures motor axons become hyperexcitable and fire repetitively (Zhou et al. 1998Go). In visual cortical neurons, too, action potentials become taller and broader at room temperature than at 35°C (Volgushev et al. 2000Go). In MNTB neurons of the same Kv1.1- null mice, the higher input resistance reduced the current required to evoke action potentials and action potentials were broader but not taller (Brew et al. 2003Go). These findings are consistent with the conclusion from a model of bushy cells that gKL plays a key role in regulating repetitive firing while gKH is important for repolarizing individual action potentials (Rothman and Manis 2003Go). As blocking gKL in octopus cells disrupts the repolarization of action potentials, its role in repolarizing action potentials differs qualitatively from that in MNTB and bushy cells.

Resting potentials

Both Ih and IKL are activated at rest in octopus cells and thus contribute to setting the resting potential, but they are not its only determinants. The importance of gh in determining the resting potential has been pointed out for other cells, too (Robinson and Siegelbaum 2003Go). In hippocampal pyramidal cells, blocking Ih caused a hyperpolarization of the resting potential of 3–4 mV (Magee 1998Go). Blocking IKL depolarized the resting potential by ~7 mV and blocking Ih caused the resting potential to become hyperpolarized by 10 mV, on average (Bal and Oertel 2000Go, 2001Go; Oertel et al. 2000Go). As octopus cells are hyperpolarized with the reduction in temperature from 33 to 23°C and the resting potential adapts over a similar time course as gh, it seems that the decrease in gh plays an important role in setting the resting potential. However, it is also clear that the control of the resting potential is not simply determined by gh and gKL because reducing the temperature hyperpolarizes octopus cells even when gh is blocked. The influence of temperature on the resting potential differs dramatically between neurons. In visual cortical cells, a reduction in temperature depolarized cells (Volgushev et al. 2000Go).


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 DISCUSSION
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 REFERENCES
 
The work was supported by a grant from the National Institute of Deafness and Other Communications Disorders Grant DC-00176.


    ACKNOWLEDGMENTS
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 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
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 ACKNOWLEDGMENTS
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We thank I. Siggelkow for support with histology and for keeping us supplied with physiological saline and R. Kochhar for keeping our computers running. We also thank M. McGinley and A. Rodrigues for lively discussions and for critically reading the manuscript. J. H. Wittig, Jr., made excellent criticisms of the manuscript. We are particularly grateful to three anonymous reviewers, each of whom made valuable suggestions that led to substantial changes and improvements.


    FOOTNOTES
 
The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.

Address for reprint requests and other correspondence: D. Oertel, Dept. of Physiology, University of Wisconsin Medical School, 1300 University Ave., Madison, WI 53706 (E-mail: oertel{at}physiology.wisc.edu)


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